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A satellite in force-free space sweeps stationary interplanetary dust at a rate $dM/dt=\alpha v$ where M is the mass, v is the velocity of the satellite and $\alpha$ is a constant. What is the deacceleration of the satellite

(1) $-2\alpha {v}^{2}/M$

(2) $-\alpha {v}^{2}/M$

(3) $+\alpha {v}^{2}/M$

(4) $-\alpha {v}^{2}$

PMT